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Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F13%3A00432818" target="_blank" >RIV/68378271:_____/13:00432818 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1103/PhysRevD.87.014008" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.87.014008</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevD.87.014008" target="_blank" >10.1103/PhysRevD.87.014008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

  • Original language description

    We examine the large-order behavior of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from renormalization-group invariance. The expansion is first written as an effective series in powers of the one-loop coupling, and its leading singularities in the Borel plane are shown to be identical to those of the standard "contour-improved'' expansion. Applying the technique of conformal mappings for the analytic continuation in the Borel plane, we define a class of improved expansions, which implement both the renormalization-group invariance and the knowledge about the large-order behavior of the series. Detailed numerical studies of specific models for the Adler function indicate that the new expansions have remarkable convergence properties up to high orders.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LG13031" target="_blank" >LG13031: Collaboration of the Czech Republic with CERN</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review D: Particles, Fields, Gravitation and Cosmology

  • ISSN

    1550-7998

  • e-ISSN

  • Volume of the periodical

    87

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

    "014008-1"-"014008-14"

  • UT code for WoS article

    000313160400002

  • EID of the result in the Scopus database